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AP EAMCET202021 Sep 2020Morning ShiftMathematicsStraight LinesActual

The point to which the origin should be shifted so that the equation (y^2-6 y-4 x+13=0 ) is transformed to the form (y^2+A x=0 ) is

Options

  1. A((3,1) )
  2. B((-1,-1) )
  3. C((1,3) )
  4. D((-1,3) )

Correct answer

D. ((-1,3) )

Step-by-step solution

Given equation is ( aligned y^2-6 y-4 x+13 & =0 (y-3)^2=4(x-1) (y-3)^2-4(x-1) & =0 aligned ) By analysis of above form, it we shift the origin to ((-1,3) ), then it transformed to the (y^2+4 x=0 ). Hence, option (c) is correct.

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